CALCULUS OF THE BOULIGAND DERIVATIVE OF SET-VALUED MAPS IN BANACH SPACES

Abstract

The purpose of this paper is to obtain some calculus rules for the Bouligand derivative of set-valued maps. We envisage the rules for sum and composition (with single-valued maps). The Bouligand derivative of some perturbation maps are considered as well. We have chosen for our study the framework of general Banach spaces and the most general conditions met in the literature.